In a similar situation myself. Depression/anxiety, unemployed. Do have a want to work (My real career path is in the film industry which is both ridiculously hard to break into, earn money from and have anyone take seriously or understand) but my state has been getting worse and worse over the last year with 2 relationships ending.
Having said this, the soul crushing, stupid and flawed process of having to look for 20 jobs per month, with no progress has been an added stress.
I have had a number of medical certificates forwarded through but last week found out the last 2 or 3 haven't been recognized. What has saved me is that I have been seeing the in house counselor at my job network agency for awhile and because of that, the assigned agent at his discretion has not been pushing me to have to look for work but to recover first instead. Having dealt with some crap, apathetic job network people before, I appreciate this, although I wish he tole me this ages ago instead of me believing that I was still obligated.
The counselor suggested I look into getting my stream (And job capacity) reassessed and shifted to Disability. The Job network agent gave me a 'Verification of Medical Conditions' form for my GP to fill out and that's supposed to help but the Mental Health Triage (Who I have been dealing with in the last 6 weeks after some bouts of contemplation) think I might need to look into it a bit more to get to the Disability stage as that form may not be quite enough.
It's a bit confusing to be honest. I wouldn't be surprised if anyone else is.
So that is where I am at. There could be an actual chance of being reassessed and recognized as going through something serious and be actually helped and listened to. I also have a psychologist on board and upcoming first psychiatrist appointments, so hopefully they can back me up.
It's an incredibly frustrating situation and hopefully you get somewhere useful with them.